Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras

Details Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras

2008-04-16

arxiv.org/abs/0804.2648v1

Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 11, No. 1 (2008) 127-133

Physics

Mathematical Physics

Scientific paper

Recently Kosaki proved an uncertainty principle for matrices, related to
Wigner-Yanase-Dyson information, and asked if a similar inequality could be
proved in the von Neumann algebra setting. In this paper we prove such an
uncertainty principle in the semifinite case.

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